Distinguishability of Quantum States by Separable Operations

Details Distinguishability of Quantum States by Separable Operations Distinguishability of Quantum States by Separable Operations

2007-05-06

arxiv.org/abs/0705.0795v3

IEEE Trans. Inform. Theory, vol.55, no.3, pp.1320-1330, Mar.(2009)

Physics

Quantum Physics

9 pages (in IEEE TIT format), 1 eps figure. Need IEEE.cls. Missing Reference [18] added. A preliminary version was presented a

Scientific paper

10.1109/TIT.2008.2011524

We study the distinguishability of multipartite quantum states by separable operations. We first present a necessary and sufficient condition for a finite set of orthogonal quantum states to be distinguishable by separable operations. An analytical version of this condition is derived for the case of $(D-1)$ pure states, where $D$ is the total dimension of the state space under consideration. A number of interesting consequences of this result are then carefully investigated. Remarkably, we show there exists a large class of $2\otimes 2$ separable operations not being realizable by local operations and classical communication. Before our work only a class of $3\otimes 3$ nonlocal separable operations was known [Bennett et al, Phys. Rev. A \textbf{59}, 1070 (1999)]. We also show that any basis of the orthogonal complement of a multipartite pure state is indistinguishable by separable operations if and only if this state cannot be a superposition of 1 or 2 orthogonal product states, i.e., has an orthogonal Schmidt number not less than 3, thus generalize the recent work about indistinguishable bipartite subspaces [Watrous, Phys. Rev. Lett. \textbf{95}, 080505 (2005)]. Notably, we obtain an explicit construction of indistinguishable subspaces of dimension 7 (or 6) by considering a composite quantum system consisting of two qutrits (resp. three qubits), which is slightly better than the previously known indistinguishable bipartite subspace with dimension 8.

Affiliated with

Also associated with

No associations

Rating

Distinguishability of Quantum States by Separable Operations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distinguishability of Quantum States by Separable Operations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distinguishability of Quantum States by Separable Operations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-111116